{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "plt.style.use('classic')\n",
    "# plt.style.available # 查看可用样式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0,10,100)\n",
    "fig = plt.figure()\n",
    "plt.plot(x,np.sin(x),'-')\n",
    "plt.plot(x,np.cos(x),'--')\n",
    "fig.savefig('my_fig.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 显示已经保存的图片\n",
    "from IPython.display import Image \n",
    "Image('my_fig.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 两种图画的接口"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 一是便捷的MATLAB风格接口，一个是功能更强大的面向对象接口。\n",
    "\n",
    "# matlab接口\n",
    "x = np.linspace(0,10,100)\n",
    "plt.figure()\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(x,np.sin(x))\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(x,np.cos(x))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# object-oriented\n",
    "fig,ax = plt.subplots(2)\n",
    "ax[0].plot(x,1/(1+np.exp(x)))\n",
    "ax[1].plot(x,np.sin(x));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 显示中文"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams['font.sans-serif'] = ['SimHei'] # 正常显示中文\n",
    "plt.rcParams['axes.unicode_minus'] = False # 正常显示负号"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 线性图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(1,10,30)\n",
    "plt.plot(x,x**2)\n",
    "plt.plot(x,np.log(x**10));\n",
    "# x，y轴上点都是离散的，相邻离散点连接成一条直线。\n",
    "# 当有大量点构成曲线时，看起来会是光滑的"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 线条格式和标记"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 颜色\n",
    "# 蓝色： 'b' (blue)\n",
    "# 绿色： 'g' (green)\n",
    "# 红色： 'r' (red)\n",
    "# 蓝绿色(墨绿色)： 'c' (cyan)\n",
    "# 红紫色(洋红)： 'm' (magenta)\n",
    "# 黄色： 'y' (yellow)\n",
    "# 黑色： 'k' (black)\n",
    "# 白色： 'w' (white)\n",
    "\n",
    "x = np.linspace(1,10,20)\n",
    "plt.plot(x,x**2,color=\"m\",linestyle=\"-\",linewidth=3)\n",
    "plt.plot(x,np.log(x**10),color=\"k\",ls=\"--\",lw=4);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAGkCAYAAACRuEf6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAMTQAADE0B0s6tTgAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOzdeVxVdf7H8RcXuYJ4QS+goEEumZWNlqS2TTltamSlle02NZk2pabATLmkbWYFaZpR2qJDZpppmVTkRr8atbQcW5yazAX35F5ZBS9w7++PUyhy3djOvfB+Ph7z6Cz33PO5TZPv+a4Bq1at8iAiIiJSTyxmFyAiIiKNi8KHiIiI1CuFDxEREalXCh8iIiJSrxQ+REREpF4pfIiIiEi9UvgQERGRenXS4WPz5s3ce++9la6lp6czcOBABg8ezPr16yuuFxcX89RTT3HjjTfy8MMPs3fv3tqrWERERPzaSYWPTZs2MW7cOIqLiyuuffbZZyxZsoS0tDRSU1OZOnUqeXl5AEyfPp38/HwWLFjA4MGDeeaZZ+qmehEREfE7JxU+FixYwMiRIytdW7ZsGQMGDKB169ZERUXRq1cv1qxZQ3l5OatWreLee+/FarXSs2dPDh48yJ49e+rkB4iIiIh/OanwMWHCBNq3b1/p2r59++jcuXPFeUxMDNu3byc3NxeXy0WnTp0q7rVp04bs7OxaKllERET8WZOT+VBAQECVa263G5vNVnEeEhJCYWEhbreb4OBggoKCKu4FBwdTWFjo9bvdbjcOh4OQkBCv7xERERHf4/F4KC4uJiIiAovl1OavnFT48CYsLIyCgoKK8+LiYiwWC2FhYZSUlOByubBarQCUlJQcszCHw8GgQYOqW4aIiIiYaMGCBURFRZ3SM9UOH+eeey4bNmwgPj4eMAaldurUiaZNm9KxY0e+++47LrjgAsrLy/npp5+44447vH5PSEgIADt27CAsLKy65fisMWPGMGnSJLPLqBP6bf5Jv80/6bf5p4b221ascDFw4FjgBSAfiK34c/xUVDt89OvXj5EjR9KpUycOHjzI2rVrGTJkCAD9+/dn+vTpjBo1in//+980a9aMs846y+v3/NHVEhYW1iDDh9VqbZC/C/Tb/JV+m3/Sb/NPDem37d8PDz0EcAYBAd/i8XQHvA/NOJFqh4/27dszYcIE0tPTKSsrY+LEicTExABG+CgtLeWVV14hKiqKSZMmaTyHiIiIn3K74Z57YM8eCA9P5OabU8nKeodff63e9510+IiOjubdd9+tdC0+Pr6i2+VoAwcOZODAgdWrqgHp06eP2SXUGf02/6Tf5p/02/xTQ/ltU6fCJ58Yx2+9ZWHAgGRycnKIippVre8LWLVqlacW6ztlRUVFXHfddeTl5TWYpikREZGGYt06uOQSKC01ul1eftm4np+fT3h4OEuXLiU0NPSUvlN7u4iIiIhXeXlw221G8OjaFVJSaud7FT5ERESkCo8Hhg6FLVugWTOYPx+Cg2vnuxU+REREpIo33zQCB8CMGXCMSavVovAhIiIilWzaBMOHG8d33WXMdKlNCh8iIiJSobgYbr3V+OsZZ8Arr0Btr5ah8CEiIiIVRo+GH36AoCCj2+WIbdxqjcKHiIiIAPDee/Dqq8bxCy9A9+518x6FDxEREWHrVvh9lxSuuw5GjKi7dyl8iIiINHKlpXD77ca6Hm3bwltv1f44jyMpfIiIiDRy48fDV1+BxQLvvAORkXX7PoUPERGRRuyzz+C554zjCRPgssvq/p0KHyIiIo3U3r1w993G8eWXw9ix9fNehQ8REZFGyO02gsdvv0FEBMydC4GB9fNuhQ8REZFG6LnnYPly43jOHGOgaX1R+BAREWlkVq82BpkCjBoFCQn1+36FDxERkUbkwAFjWm15OcTHw+TJ9V+DwoeIiEgj4fHA/fdDdraxbPq774LVWv91KHyIiIg0Eq++CosWGcevvWZsHGcGhQ8REZFG4LvvjPEdAPfdZ3S9mEXhQ0REpIErKoJbb4VDh+Css2DaNHPrUfgQERFp4IYPh59+gqZNYf58CA01tx6FDxERkQZs7lxjoziAqVOha1dz6wGFDxERkQZr82YYNsw4vukmGDrU3Hr+oPAhIiLSAB06ZIzzKCyE00+HWbMgIMDsqgwKHyIiIg3QY4/Bt98a+7XMmwctW5pd0WFNzC5AREREaofL5cLhcLB2bQRTphirhz39NFx0kcmFHUXhQ0RExM+53W6SklLJyMgmNzeWnJwdQBxXXZXIP/7he50cCh8iIiJ+LikplbS0HpSUJB9xNYsOHVKxWJKP+ZxZfC8OiYiIyElzuVxkZGRTUtL7qDu9ycrajsvlMqOs41L4EBER8WMOh4P8/Fiv9woKYnE6nfVc0YkpfIiIiPixiIgIQkJ2eL1ns+3EbrfXc0UnpvAhIiLixzweK0VFcUBWpevBwVkkJMRhtVpNqet4NOBURETEjz3yCPz2WyIBAamcdtpCyspisdl2kpAQR0pKotnleaXwISIi4qfS0+HVVwEsvPBCMsOHu3A6ndjtdp9s8fiDwoeIiIgf+v77w3u1DBwIo0dDQICV6Ohocws7CRrzISIi4mfy8oyN4oqLoVMnY9daX9m35WQofIiIiPgRjwfuvRd++QWaNYNFiyAszOyqTo3Ch4iIiB9JTYXFi43j116Dc881t57qUPgQERHxE//3f/Doo8bxgw/CXXeZW091KXyIiIj4gT174NZbobwcevSAKVPMrqj6FD5ERER8XGmpETz27oWICFi4EJo2Nbuq6lP4EBER8XFjxsAXXxgzWubOhbg4syuqGYUPERERH7ZoEaSkGMcTJkCfPubWUxsUPkRERHzU//4Hf/2rcdy3L4wfb2o5tUbhQ0RExAcVFRkLiRUUGN0sb78Nlgbyp3YD+RkiIiINh8cDw4bBDz+A1WoMMI2IMLuq2qPwISIi4mNee81o6QB46SVjam1DovAhIiLiQ9atg5EjjeO77z68eVxDovAhIiLiIxwOuPlmcLngT3+CV1/1rw3jTpbCh4iIiA8oL4c774TsbLDZjHEezZqZXVXdUPgQERHxAU8/DZmZxvHs2XDmmaaWU6cUPkREREyWmQlPPGEcJyXBwIHm1lPXFD5ERERMtH073HGHMb32ssvg2WfNrqjuKXyIiIiY5NAhuOUWcDqhdWt4911o0sTsquqewoeIiIhJRo0yptYGBsKCBRATY3ZF9UPhQ0RExARvvw1pacbx5MlGl0tjofAhIiJSz77/Hh54wDgeOBASE82tp74pfIiIiNSj/Hxjw7jiYjjjDHjzzYa5kNjxKHyIiIjUE48H7r0XfvkFQkLg/fchPNzsqupfIxhTKyIiYi6Xy4XD4SA9PYJFi6yAsXlc164mF2YShQ8REZE64na7SUpKJSMjm5ycWJzOHUAcQ4cmcvfdjbfzQeFDRESkjiQlpZKW1oOSkuSKawEBWTRtmgokH/vBBq7xxi4REZE65HK5yMjIpqSkd6XrHk9vPv10Oy6Xy5zCfIDCh4iISB1wOBzk58d6vVdQEIvT6azninyHwoeIiEgdiIiIwO3e4fWezbYTu91ezxX5DoUPERGROrB2rZX9++OArErXg4OzSEiIw2q1mlKXL6jxgNP333+f9957j0OHDtG9e3dGjx5NaGgo6enpLF68mObNmzNixAguuOCC2qhXRETE523fbiwk5vEkEhWVSnj4QoqKYrHZdpKQEEdKSiNb0vQoNQof2dnZfPjhh7zxxhtYrVaeeeYZ0tPT6dChA0uWLCEtLQ2LxcKoUaOYMWMG4Y1xJRUREWlUiorgxhshJwdatbKwfn0yrVu7cDqd2O32Rt3i8Ycadbts3bqVDh06EBoaSlBQEN26dWPv3r0sW7aMAQMG0Lp1a6KioujVqxdr1qyprZpFRER8kscD990H//kPBAUZK5jGxoLVaiU6OlrB43c1Ch8dO3Zkw4YNbN68GafTSWZmJj179mTfvn107ty54nMxMTFs3769xsWKiIj4smefhQULjOMZM+DSS82tx1fVqNvltNNOo1evXjz99NNYrVaCgoK4/PLLeeedd7DZbBWfCwkJobCw8LjfNWbMmIpE2KdPH/r06VOT0kREROrVRx/BuHHG8UMPwZAh5tZTFzIzM8nMzASo0TolNQofy5cvJzAwkNmzZwOwePFiJkyYQFhYGAUFBRWfKy4uxmI5fiPLpEmTCAsLq0k5IiIipvjvf+HOO41ul969YcoUsyuqG0c2DuTn5zNjxoxqfU+Nul2+++47OnToUHHepUsXvvvuO84991w2bNhQcX3Tpk1ER0fX5FUiIiI+6cABuP56KCiA00+H994zxnvIsdW422XFihV07doVi8XCW2+9RceOHenXrx8jR46kU6dOHDx4kLVr1zKkIbY/iYhIo1ZWBrfdBps3Q7Nm8OGHEBlpdlW+r0bh48Ybb2T79u08+uijFBYW0rlzZx577DHi4uKYMGEC6enplJWVMXHiRGJiYmqrZhEREZ/w6KPw2WfG8Zw50K2bufX4ixqFD6vVSnKy91354uPjiY+Pr8nXi4iI+Kz0dEhNNY7Hj4ebbza3Hn+i5dVFRERO0bp1h2ez3HADTJxoajl+R+FDRETkFOzZY6xgeugQdOlitICcYEKnHEV/u0RERE7SoUMwcCDs3g0tWxoDTI9Y1kpOksKHiIjISfB44MEHYe1ao6Vj/nzo2NHsqvyTwoeIiMhJmD4d3nrLOE5NhauvNrcef6bwISIicgIrVsDo0cbxPffAyJHm1uPvFD5ERESOY8sWGDQIysuhVy949VUICDC7Kv+m8CEiInIMBQXGVFqnE2JiYNEiCA42uyr/p/AhIiLihdttdLH88AM0bQqLF0ObNmZX1TAofIiIiHjx1FNG4ACYOdPocpHaofAhIiJylEWLDq9aOmoUDB5sajkNjsKHiIjIEb7//nDYuPpqeP55c+tpiBQ+REREfpeTYwwwLSoyFhB7911oUqMtWMUbhQ8RERGgtNSYUrt1KzRvbiydbrebXVXDpPAhIiICJCXBqlXG8dy5xqZxUjfUmCQiIo2Wy+XC4XDw0UcRTJtmBYxZLtdfb3JhDZzCh4iINDput5ukpFQyMrJxOGJxOHYAcdx0UyJjx6pToK4pfIiISKOTlJRKWloPSkqSK64FBGQRE5NKQEDycZ6U2qB4JyIijYrL5SIjI5uSkt6Vrns8vfnss+24XC5zCmtEFD5ERKRRcTgc5OfHer1XUBCL0+ms54oaH4UPERFpVCIiIigp2eH1ns22E7vm19Y5hQ8REWlUZs2ykpsbB2RVuh4cnEVCQhxWq9WUuhoTDTgVEZFGIyMDRowASKRz51Tc7oUUFsZis+0kISGOlJREs0tsFBQ+RESkUfjPf+DWW8HthksusbB8eTIWiwun04ndbleLRz1S+BARkQZv505ISDi8Z8sHH0BwMICV6Ohos8trdDTmQ0REGrSCAujfH3bvhpYt4eOPITLS7KoaN4UPERFpsMrK4LbbjC4Xq9Vo8TjzTLOrEoUPERFpkDweGDnSaOkAePNNuOwyc2sSg8KHiIg0SC+9BK+8Yhw/8QTceae59chhCh8iItLgfPghjB5tHN99N4wfb249UpnCh4iINCjr18MddxjdLpdfDrNmQUCA2VXJkRQ+RESkwdi+3ZjZcvAgdO4MixZB06ZmVyVHU/gQEZEGIS8PrrsO9u41ptJmZIC2afFNCh8iIuL3Skvhllvghx+Mlo4PPzQWExPfpPAhIiJ+zeOBhx6CZcuM8zlz4OKLza1Jjk/hQ0RE/NoLLxiDSgEmTTL2bxHfpvAhIiJ+a+FC+Oc/jeO//Q0efdTceuTkKHyIiIhfWrvWWMMD4MorIS1NU2r9hcKHiIj4na1b4frroaQEzjnHaAEJCjK7KjlZCh8iIuJXDhyAa6+F/fuhVStjSm2LFmZXJadC4UNERPyGywU33QQ//QTBwfDRR9CundlVyalS+BAREb/g8cDQobBqlTG2Y+5c6NnT7KqkOhQ+RETEL0yaBLNnG8cvvAADB5pajtSAwoeIiPi8efNg3DjjeNiwwzvWin9S+BAREZ/25Zfw178ax337wvTpmlLr75qYXYCIiMjRXC4XDocDpzOCG2+04nLBn/4E8+dDE/3J5ff0X6GIiPgMt9tNUlIqGRnZ5OXF4nTuoLQ0jujoRDIyLISFmV2h1AaFDxER8RlJSamkpfWgpCT5iKtZXHllKrGxycd8TvyLxnyIiIhPcLlcZGRkU1LS+6g7vVm3bjsul8uMsqQOKHyIiIhPcDgc5OfHer1XUBCL0+ms54qkrih8iIiIT4iIiKCsbIfXezbbTux2ez1XJHVF4UNERHzC229bycmJA7IqXQ8OziIhIQ6r1WpKXVL7NOBURERMt2QJDBkCkEj79qk0abKQwsJYbLadJCTEkZKSaHaJUosUPkRExFRffAG33gpuN1x8sYVly5Jp0sSF0+nEbrerxaMBUvgQERHTfPcd9O8PJSXQpYuxS22zZgBWoqOjzS5P6ojGfIiIiCm2bjWWS8/Lg7g4+PRT0JjSxkHhQ0RE6t1vv8E118CePRARAZmZcNppZlcl9UXhQ0RE6lV+PvTrB5s3Q2gofPwxnHWW2VVJfVL4EBGRenPoEAwYAN9+C0FBsGgR9OxpdlVS3xQ+RESkXpSXw113wcqVEBAAc+YYXS/S+Ch8iIhInfN4YPhwWLjQOH/pJbj9dnNrEvMofIiISJ178klISzOOx40zgog0XgofIiJSp9LSYOJE4/iBB4wgIo2bwoeIiNSZ996Dhx4yjgcOhFdeMcZ7SOOm8CEiInVixQq4805jvEfv3jB3LgQGml2V+AKFDxERqXXffAM33gilpXDeefDBBxAcbHZV4isUPkREpFb98ouxiFhhIXToAJ98AuHhZlclvqTWwkdSUhIL/5hDBaSnpzNw4EAGDx7M+vXra+s1IiLiw3bvNtbu2L8fWreGzz4D7Q8nR6uVXW0zMjLIzc1lwIABAHz22WcsWbKEtLQ0LBYLo0aNYsaMGYQr+oqINFi5ucZGcdu2QViYsVFcx45mVyW+qMYtHzk5OcycOZPRo0cT+PtIomXLljFgwABat25NVFQUvXr1Ys2aNTUuVkREfFNxMfTvD99/D02bwocfGmM9RLypccvHtGnTsFgszJ07l9atW3PHHXewb98+OnfuXPGZmJgYtm/fXtNXiYiIDyorg9tugy+/BIsF5s0zZreIHEuNwsfPP//MF198wYABA+jRoweZmZk88sgjlJeXY7PZKj4XEhJCYWHhcb9rzJgxWK1WAPr06UOfPn1qUpqIiNQDjweGDoUlS4zzV181No6ThikzM5PMzEwAXC5Xtb+nRuHj+++/p2PHjowYMQKAHj16cO2111JeXk5BQUHF54qLi7FYjt/DM2nSJMLCwmpSjoiI1LMxY+DNN43jp5+GIUPMrUfq1pGNA/n5+cyYMaNa31OjMR+BgYG0adOm4rxJkyYEBgZyySWXsGHDhorrmzZtIlrDnUVEGpQpU2DyZON4xAgjiIicjBqFj169evHDDz+wY8cOABYvXkzLli259957WbJkCZ9//jmffPIJa9eupbc6AEVE/J7L5WLPnj3Mnu1i9Gjj2u23G0FEy6bLyapRt0ubNm0YPXo0EydOJCcnh1atWvHEE0/Qvn17JkyYQHp6OmVlZUycOJGYmJjaqllEROqZ2+0mKSmVjIxs9u+P5cCBHUAcV1+dyOzZFk7Qsy5SSY1nu1x66aVceumlVa7Hx8cTHx9f068XEREfkJSUSlpaD0pKkiuuBQRkceaZqVitycd5UqQqZVURETkul8tFRkY2JSW9K133eHqzbNn2Gs16kMZJ4UNERI7L4XDgdMZ6vVdQEIvT6aznisTfKXyIiMhxORwRv4/xqMpm24ndbq/nisTfKXyIiMgxbdkCfftaKS+PA7Iq3QsOziIhIa5igUiRk1UrG8uJiEjDs307XHEF7NoFLVsmkpCQytdfL6SgIBabbScJCXGkpCSaXab4IYUPERGpYtcuuPJKI4CEh8OyZRbi45NxuVw4nU7sdrtaPKTaFD5ERKSSvXuN4PHrr9C8OXz6KfyxcoLVatWK1VJjGvMhIiIVcnLgqqvg55+hWTP4+GO48EKzq5KGRuFDREQAcDrh6qvhxx8hOBg++gj+/Gezq5KGSOFDRETIy4O+feE//wGrFRYvNgabitQFhQ8RkUauoACuvRbWrYMmTeC994wgIlJXFD5ERBqxgwehf39YvRosFpg3D66/3uyqpKFT+BARaaRKSuDGG+HzzyEgANLT4eabza5KGgOFDxGRRsjlMoLGsmXG+RtvwB13mFuTNB4KHyIijUxpKdx2G2RkGOdpaXDvvebWJI2LwoeISCNSVgZ3323MZgGYOhWGDTO3Jml8FD5ERBoJtxvuuw/mzzfOn3sORo40tyZpnBQ+REQaAbcbhg41BpUCPPEE/OMf5tYkjZfCh4hIA+fxwIgR8PrrxvmYMTB+vLk1SeOm8CEi0oB5PJCUBDNmGOejR8PTTxtTa0XMovAhItJAeTwwdiy8+KJx/tBDkJKi4CHmU/gQEWmgnn4ann3WOL7/fpg2TcFDfIPCh4hIA/T88/D448bx3XfDa68Zy6eL+AL9oygi0sC89BL885/G8a23wptvKniIb2lidgEiIlJzLpcLh8PB++9H8MgjVgAGDDCm1jbRv+nFx+gfSRERP+Z2u0lKSiUjI5t9+2LJy9sBxHHttYm8+66FoCCzKxSpSuFDRMSPJSWlkpbWg5KS5IprFksWHTumYrUmH+dJEfOoF1BExE+5XC4yMrIpKeld6brb3ZvMzO24XC5zChM5AYUPERE/5XA42Lcv1uu9goJYnE5nPVckcnIUPkRE/NS770b8PsajKpttJ3a7vZ4rEjk5Ch8iIn7o+edh9GgrEIfFklXpXnBwFgkJcVitVlNqEzkRDTgVEfEjHg889RRMmGCcX399Iu3apfLppwspKIjFZttJQkIcKSmJ5hYqchwKHyIifsLjMXaknTzZOB80CN5+20JQUDIulwun04ndbleLh/g8hQ8RET/g8cAjjxj7swAMHmysXBoYaJxbrVaio6PNK1DkFGjMh4iIj3O7Ydiww8Fj6FB4663DwUPE3yh8iIj4sLIyuPdemDnTOB85EtLStFeL+Df94ysi4qNKS+HOO+Ff/zLOH30UpkyBgABz6xKpKY35EBHxQYcOGTvSfvihcf7EEzB+vIKHNAwKHyIiPqa4GAYOhE8/Nc6ffx6StU2LNCAKHyIiPqSwEK6/HlatMs6nT4eHHza3JpHapvAhIuIj8vLg2mth9Wqje2XmTLj/frOrEql9Ch8iIj7A6YQ+fWD9emMmy5w5cNddZlclUjcUPkRETPbbb3D11fDdd9CkCcybBzffbHZVInVH4UNExES7d8NVV8F//wtWKyxcCP37m12VSN1S+BARMUl2Nlx5JWzeDCEh8MEHcM01ZlclUvcUPkRETPDrr0bw2L4dQkMhIwMuv9zsqkTqh8KHiEg9++knI3js3g1hYcZ6HhddZHZVIvVH4UNEpB59/70xxuO338Buh88+g/h4s6sSqV8KHyIi9eTbb41ZLU4nREXB8uXQtavZVYnUP4UPEZE65HK5cDgc/PJLBNdfbyUvD9q0gRUr4KyzzK5OxBwKHyIidcDtdpOUlEpGRjY5ObEcOLADjyeO2NhEVq2y0LGj2RWKmEfhQ0SkDiQlpZKW1oOSkiN3hMvimmtS6dhRu8RJ42YxuwARkYbG5XKRkZFNSUnvo+705osvtuNyucwoS8RnKHyIiNQyh8PB3r2xXu8VFMTidDrruSIR36LwISJSizwemDYtgvz8HV7v22w7sdvt9VyViG9R+BARqSVlZXD//TB5shWIw2LJqnQ/ODiLhIQ4rFarKfWJ+AoNOBURqQVFRXDrrcYy6QB//3siQUGpfPLJQgoKYrHZdpKQEEdKSqK5hYr4AIUPEZEaysmB666Dr74yzp95Bh57zEJAQDLPP+/C6XRit9vV4iHyO4UPEZEa2LYN+vSB//0PAgNh1iy4997D961WK9HR0abVJ+KLFD5ERKpp40bo2xf27oWQEHjvPUhIMLsqEd+n8CEiUg2rVsGNN0J+PkREGGM9evUyuyoR/6DZLiIip2jBAqPFIz8f2rWDf/9bwUPkVCh8iIicgunT4bbbwOWCbt1g9Wro3NnsqkT8i8KHiMhJ8HjgscdgxAjj+Ior4PPPISbG7MpE/I/GfIiInEBpqbF42L/+ZZzfeivMmQNNm5pbl4i/UsuHiMhxFBbC9dcfDh4jR8I77yh4iNRErYWPAwcOMGDAAPbu3QtAeno6AwcOZPDgwaxfv762XiMiUm/27ze6Vz791Dh//nmYMgUs+r9tIjVSa90uL7zwArm5uQB89tlnLFmyhLS0NCwWC6NGjWLGjBmEh4fX1utEROrUli3G4mGbN0OTJvDmm3D33WZXJdIw1Ep+X7JkCYcOHaJ169YALFu2jAEDBtC6dWuioqLo1asXa9asqY1XiYjUuW+/hYsvNoJHaCgsXargIVKbahw+du3axTvvvMOjjz5acW3fvn10PmLuWUxMDNu3b6/pq0RE6tzy5XD55bBvH0RFQVaW0QIiIrWnRuGjvLycSZMm8fe//52oqKiK6263G5vNVnEeEhJCYWFhTV4lIlLn5s2Da681Bpl26GCs4XHBBWZXJdLw1GjMx9tvv0379u257LLLKl0PCwujoKCg4ry4uBjLCUZojRkzpmLHxz59+tBH/1dDROrRlCkwerRxfP758PHHoP3gRCrLzMwkMzMTAJfLVe3vqVH4WLVqFXl5eaxevRqAvLw8hg0bRkhICBs2bCA+Ph6ATZs20alTp+N+16RJkwgLC6tJOSIiJ83lcuFwOGjZMoLx462kpBjXr7oKFi2CIxpvReR3RzYO5OfnM2PGjGp9T43Cx+zZsyud33bbbUydOpXi4mJGjhxJp06dOHjwIGvXrmXIkCE1eZWISK1wu90kJaWSkZFNfn4sRUU7KCiIAxK54w4Lb70FvynRgzYAACAASURBVDfCikgdqZMVTtu3b8+ECRNIT0+nrKyMiRMnEqM1iEXEByQlpZKW1oOSkuQjrmbRvXsq6enJWsNDpB7Uavh49913K47j4+Mrul1ERHyBy+UiIyP7qOAB0JvCwoWUlbkqxp6JSN1RxheRRsPhcOBwxHq9V1AQi9PprOeKRBonhQ8RaTQ+/zwCp3OH13s2207sdns9VyTSOCl8iEiD5/HA00/D7bdb8XjigKxK94ODs0hIiFOXi0g9qZMBpyIivqK4GP72N2MBMYArr0zkzDNTWbFiIQUFsdhsO0lIiCMlJdHcQkUaEYUPEWmw9uyBG26AdeuM84cfhilTLDRpkozL5cLpdGK329XiIVLPFD5EpEH69lu4/nrYtQsCA+Hll2HYsMP3rVYr0VrCVMQUCh8i0uAsXAiDBxtdLi1bGudXXGF2VSLyBw04FZEGw+OBJ5+EW24xgkfnzvDVVwoeIr5GLR8i0iAUF8N998Efax1ecw3Mnw8tWphbl4hUpZYPEfF7u3fD5ZcfDh4jRkBGhoKHiK9Sy4eI+LVvvjEGlu7eDU2aGANLhw41uyoROR6FDxHxW++9B/fcc3hg6fvvw1/+YnZVInIi6nYREb/j8cATT8CgQUbwOOss+PprBQ8Rf6GWDxHxKwcPwr33woIFxnmfPsZYD43vEPEfavkQEb+xa5cxsPSP4DFyJCxdquAh4m/U8iEifmH9emNg6Z49xsDSGTPggQfMrkpEqkPhQ0R83vz58Ne/QkkJ2O3GwNLevc2uSkSqS90uIuKz3G6YOBFuu80IHmefbaxYquAh4t/U8iEiPsXlcuFwOAgJieCBB6y8955xvW9fY2BpeLi59YlIzSl8iIhPcLvdJCWlkpGRTW5uLHl5Ozh0KA5I5JFHLLzwgjHWQ0T8n/6nLCI+ISkplbS0HpSUJB9xNYurrkplypTkYz4nIv5HYz5ExHQul4uMjGxKSnofdac32dnbcblcZpQlInVE4UNETLdrl4MdO2K93isoiMXpdNZzRSJSlxQ+RMRUW7bAgAERFBfv8HrfZtuJ3W6v56pEpC4pfIiIaZYsge7dYeNGKwEBcTRpklXpfnBwFgkJcVitVnMKFJE6oQGnIlLvyspg7Fh4/nnj/LTT4N13E3n//VQyMhZSUBCLzbaThIQ4UlISzS1WRGqdwoeI1Ks9e4xFw/7v/4zzq6+GuXMhKsrCJZckM3myC6fTid1uV4uHSAOlbhcRqTdZWXD++UbwCAiACRPgk08gKurwZ6xWK9HR0QoeIg2YWj5EpM653UYXy9ixxnFEhNHa0aeP2ZWJiBkUPkSkTh04AIMHw9KlxvmFF8KCBRDrfWatiDQC6nYRkTqzfr0xm+WP4DFyJHz+uYKHSGOn8CEitc7jgddeg0sugW3boHlzmD8fpk4FDeUQEXW7iEitKiqCYcPg7beN8y5d4P33oXNnc+sSEd+hlg8RqTU//QS9eh0OHnffDV99peAhIpUpfIhIrZg/H3r0gB9/NLpWXnsN5syB0FCzKxMRX6NuFxGpEZcLkpJg+nTjvH17eO89iI83ty4R8V0KHyJSbdnZMGiQ0bUC0L+/0drRsqW5dYmIb1O3i4hUy6efGquVfvUVWCzw3HPwwQcKHiJyYmr5EJGT4nK5cDgctGgRweTJVp56yphS27q1Md7j8svNrlBE/IXCh4gcl9vtJikplYyMbHJzYyks3MHBg3FAIpdfbmHePIiJMbtKEfEnCh8iclxJSamkpfWgpCT5iKtZ9OiRyvLlyTTRv0VE5BRpzIeIHJPL5WLp0mxKSnofdac3eXnbcbtdZpQlIn5O4UNEjmnjRgfbtnnfiKWgIBan01nPFYlIQ6DwISJVeDyQng5XXhlBaekOr5+x2XZit9vruTIRaQgUPkSkEqcTbr0VBg+GggIroaFxBAVlVfpMcHAWCQlxWLVLnIhUg4aKiUiF5cvhnntg927j/Lbb4OWXE3nmmVQyMhZSUBCLzbaThIQ4UlISzS1WRPyWwoeIUFwMjz0GL71knIeHwyuvwB13AFh48cVkJk924XQ6sdvtavEQkRpR+BBp5DZuhDvvNDaEA+jd21giPS6u8uesVivR0dH1Xp+INDwa8yHSSJWXw/PPH96JNigIXngBVqyoGjxERGqTWj5EGqHt242xHZ9/bpx36QJz50K3bubWJSKNg1o+RBoRjwfefhu6dj0cPEaNgvXrFTxEpP6o5UOkkThwAB580NgEDqBtW5g9G666ytSyRKQRUvgQaQRWrDC6WXbtMs4HDYK0NNAaYSJiBnW7iDRgJSUwerTRurFrF4SFGSuXvvuugoeImEctHyIN1MaNcNdd8MMPxvnllxtTaE8/3dy6RETU8iHSwLjdkJICPXsawSMoyJhSu2KFgoeI+Aa1fIj4MZfLhcPhICIiAqvVSna2MbYjK8u436WLMbvlvPNMLVNEpBKFDxE/5Ha7SUpKJSMjm/z8WMLCdtCxYxz//nci+flGg+Yjj8Czz0JwsMnFikiD5PF4qv2swoeIH0pKSiUtrQclJckA7N0L//tfFpBKmzbJzJmjKbQiUrcWLF5Q7WcVPkT8jMvlIiMjuyJ4HNab5s0X8s03LqKjtfGbSGPk8XgY9dgopjw7hYCAgJN+pqi0CGexE2exE8dBR8XxkPghWAIqDw+dljaNZ2c8S3FYcbXrVPgQ8TMOh4Pc3Fiv92y2WMAJaAM4kcbozXlvMmvlLFrNakWvq3oZYaLYgT3EzqAug7w+M+SjIbyx4Q2v9wZ1GUTLkJaVrg0fNpx9nn28lP5StetU+BDxIx4PfPJJBDk5O7zet9l2YtcCHiI+51RbJNweN7kluTgOOnAUO8g5mFNx/Oe4P9OjbY9Kn5+WNo1pM6extelW3P3cjH19LEwCugLxcHHsxccMHy2CW1Q6bxrYlIhmEdhD7BwsPVglfAQEBHDLX25hxoIZp/T34EgKHyJ+4tdfYdgwWL7cCsQBWUDvivvBwVkkJMRhtarLRcSXlLnLmPn2TGaunIktzcb5fzm/IkgMjR9a5Q93gHW71nHhGxd6/b5JV0yqEj6GDxtOZGQk90y5B7fFDQEQeHEgUd2jiAyNpEPLDsesb3jP4QzuNhh7iB17iJ1mQc1O+JvS56UTfiCcPPJO+FlvFD5EfFxpKbz4IkycaKxYCnD33YmEhqaycuVCCgpisdl2kpAQR0pKoqm1ivibU22R8Hg85B3KI+dgDvuL9pNzMIecgzlYAizcc949VT4/LW0aE1+ayIGwA9APnp79NDxPRYvEtZ2u9Ro+IppFVDoPbxpORLMIIptFEtksssrnAwICuDD+QpqHNse60kp5WDlfP/01HTocO3T84fQWp74AUNtWbcn6IOukvt8bhQ8RH7ZuHQwZYqxWCtChA7z6Klx9tQVIxuVy4XQ6sdvtavEQqYa33n2LWStnETUrih5X9iDnYA4dWnbgwtO8tzr0fL0n63evr3I9NizWa/gYPmw463PXk/5BurGsZwDYettoe0FbIkMjCcB74Dk9/HR+/PuPRDaLpGVwS4ICg074W2bMnkELRws+eecT+t3ej1fmvELKEyknfK46Rj88mvz8/Go/r/Ah4oMKCmD8eJg+3VixNDAQkpLg8ceh2REtolarlehoDS6Vhqc6szYAikuL2X9wP/uL9rP/4H4uaHOB15aCp6c8zePTHscT5YF+MO71cRVjJB4c+uAxw0fL4JZVziObRRIb7n0QeEBAACOuH8FHKz+i6aqmlIWXsW7COtq3b3/c3xEUGMQ5Ueec3I/+XdtWbVn32ToiIyNZt2wd6fPTT+n5+qTwIeJjMjLgwQdhx+9jSi+4AGbN0iql0ri88947vL7qdc6ffz5XXnslzmInXVt39frZxf9dTOJniew/uJ9CV2Glexl3ZHBtp2urPJM8PJnxX4+HLVS0SFgvtdI6vjU2q+2Ydb3U9yXcHjeRzSKJaBZBE8uJ/xidN39epRaJGbNn1EmLxOiHR1ccR0ZGMuqhUbX+jtpS4/Dx8ccf88Ybb5CXl0f37t159NFHsdvtpKens3jxYpo3b86IESO44IILaqNekQZr714YORIW/L5uT2goPP00DB9utHyINAQej4dD5YcIbuJ96d2ExARWfLiC8shyyvqW8dcX/wqPAl2h/MPyKmtOAHjwsDV3a5Xrza3NKXIVeX1P0yZNmfPAHEY8M4KmK5tSHlbOuqdO3CJxdtTZJ/yNR/OnFon6UqPw8fPPPzNnzhwmTpxIu3bteOqpp3jzzTfp2rUrS5YsIS0tDYvFwqhRo5gxYwbh4eG1VbdIg+HxwBtvQHIy5OYa1669Fl55RRvBie85le6QcSvHsbtgN/uK9vFb0W/sKzT+ek3Ha1hy+xKvz7T6cysO7T5UqUWCi4DO4Cx2eu1C6dm2J3NunENUsyhahbYiKjSKqGZRhASFHLe+jas20tLZUi0SJqhR+AgMDGTixImcfbaRBC+66CJWr17NsmXLGDBgAK1btwagV69erFmzhr59+9a8YpEG5OefYehQ+Pxz47xVK5g2DQYNglPo5hapU/uL9vPp5k/ZW7iXlZ+sZPmy5Sw/uBzL2Rb+eck/ubPrnV6fm/nNTPYf3F/l+m9Fvx3zXTefczNRA6JIezUN63Ir5c3LWfroUuLPiT9mmDgt7DQGdxt8yr9LLRLmqVH4OOOMMyqdr1mzhq5du7Js2TI6d+5ccT0mJobt27fX5FUiDYrLBc89Z3SruFzGtb/9DZ5/HrRGmFTHybZIFJcWs7tgN3sL91b6z57CPTx31XNVpngCbM3dyuDxg+E7oBVwHfz4yY+wBN656R3uTPUePm455xZKykpoFdqK1s1bG38Nbc1pYacds76EMxNY+fZKInMjK1okPlj0AZd2u/RU/5ackFokzFNrA06//PJLNm/ezIQJE8jMzMRmOzxgJyQkhMLCwuM8LdJ4rF5tTJ/dtMk4P/NMeO016N3b1LLEj5W7y0lLT2PmypkEvRzEpVdfyg1n3eD1s89++SxP/d9TXu893PNhr+EjpnkMp19xOkGxQezauItiSzFhwWEMeHAAIwePPGZdMxKqtwKmWiQavloJH3v37iUlJYUxY8YQGhpKWFgYBQUFFfeLi4uxWKoOEjrSmDFjKtYp6NOnD3369KmN0kR8Rl4ejBkDaWnGOI8mTeDRR2HsWG17L96Vu8s5VH7omCtO3rnoTj6a9xEF6wqMFol+kJKewpQpU3gx+UVGPDiiyjPRzY2p2QEE0Cq0FdHNoyv+c6z3xIbHsu2RbWzZsoWew3rSIqsFrmAXEwZNoH3M8QdoVodaJHxXZmYmmZmZgLHJZXXVOHwUFhYyduxYbr75Znr27AnAueeey4YNG4iPjwdg06ZNdOrU6bjfM2nSJMLCwmpajohPcLlcOBwOIiIisFqtfPABPPQQ7N5t3L/wQmP67Lnnmlun1L2T6Q45WHqQ1NWp7C7Yze7C3ewp2FPRNTKk+xDSrkvz+tyB4gMUdCkw/k3++wDNgIAAoq+K5uGhD3t95s4/3cnAswcS2SzypKaJHmnG7BnYcmx1PkBTfNeRjQP5+fnMmFG91q0ahY+ysjLGjBlDhw4duOuuuyqu9+vXj5EjR9KpUycOHjzI2rVrGTJkSE1eJeIX3G43SUmpZGRkk58fS0jIDiyWOH79NRGwYLPBs88a63icoDFQ/FRJWQnbcrexK38XO/N3snTJUj5Y/gFfur5k2qhpXBx7cZVngixBPJ71uNfv2124+5jvGnXhKP563l/hAAx9YijBWcGUhpfyxWNfHLO1OTw4nHCqN/NQ3SFSWwJWrVrlqe7Dq1evZuzYsYSFhRH4+0IEkZGRzJw5k2+++Yb09HTKysoYPHhwRavI0YqKirjuuuvIy8tTy4f4vdGjXyAtrQclJb2PuJoFrOOGG5J5+WU47dhj7aQeVWdPD2exk10FRqjoe0Zfr2tOfPDTBwyYPwC+4fAAzX7AJxBVGMW44eO8docMmD+AZkHNaNO8DW1sbYixxdDG1oZ2LdoRFx533NoSH09k0dJFFS0SN11/k1okpM7l5+cTHh7O0qVLCQ0NPaVna9TycfHFF7Nq1Sqv9+Lj4yu6XUQaA5fLRUZGNiUlyUfd6U2bNgtZsMCl/Vd8yB8raPZc2JM7brnD62dmfTOLud/PrQgcJWUlFff2Ju6ldfPWVZ5pa2sLQFCPIMKjwsn/KR+XxYWtqY2/3/d3hg8d7vVdi29dXO3fohYJ8Tdq+BWpJRs3OsjO9r6/g8cTi9PprOeK5Egb925k8X8XM/CfA2lxVgsemPYARX2LGDJ1CGecfwbT0qZVeSY7L5vPt3/OZufmSsGjubW51/UrALpFd+O3pN84NO4QX439CluojZisGKwhVu7pc88p7VNyskY/PJrISGPxLQ3QFH+gvV1EaqigACZPhpSUCFyuHV4/Y7PtxK4FPE7KqXaHFJcWsyN/B9l52UQ1i6JbdDevnxv8wWC+2/cdhADnUzFAs6S8hCfHPMntN99e5ZmrO16NNdDKaWGncVrYabQNa8tpYacR1vTYXcTWQCtRoVGABmiKHIvCh0g1lZfDnDnGVNm9ewGs2GxxlJRkUVrau+JzwcFZJCTEqcvlJJ2oOyS3JJf7PryP7LxssvOyK7VADIsfdsyZIXHhcezK30VceBwRLSP4cs+XBH0WhKeZh4suuMhr0Lns9Mu47PTLqv1b1B0i4p26XUSq4fPPoUcPY1XSvXuheXOYNAn27k3k4YfXceaZDxMT8xxnnjmcBx9cR0pKotkl+6Qydxnbcrexausq7hx7J/az7AydNpSivkUkvZrktTskNCiUD3/+kG/2fFMpeFgDrbjKj73uwOJbF5Pzjxy+HfotXR1dic6P5us3vibyQCQzZldvuuCJqDtExDu1fIicgl9/hX/8AxYtMs4DAuC++4xl0qOjASy8+GIykye7cDqd2O32Rt3iUe4uZ0/hHtra2nptWVjy8xJuWnCTcRJE5e6QshJSxqRU6Q4JCgxi3J/H0TKkJbFhscSFxxEXHkdUaJTX2Sd/OHJNC7VIiJhL4UPkJOTlwTPPwEsvHd6LpXdvmDIFzjuv6uetVivRRhppME40FmPNjjWs3LqSbbnb2Ja3ja0HtpKdl02pu/SYM0PatzBWx2xiaUJceBzR8dF8s+cbgjKDcDdzH7M75Im/PFGj36IVNEXMpW4XkeMoKzP2XenUCV54wQgeHTvC4sWwcqX34NHQ5Jbk8s3ubxgxZQSvrniVeQvnef3cJ5s/Ydyqcby+4XWWb1nOrwd+pdRdCsC23G1en+nSqgvZj2RTMraEX0f8yoX5FxKTH8O6N9fR0tGyzrpDRMRcavkQOYZly2D0aPjhB+M8LAzGj4fhw6FpU3Nrq2uPLX+MVdtWsdm5GceXjsOLZV0L414fx+OTHmfEAyMqLZbVtXVXLom9hPYt29MuvJ3x1xbtaN+iPbHh3qcgWwOtle6pO0SkcVD4EDnKzz9DUhIsXWqcWywwdCg88QRERZlb29FOdlpqubucXQW72OzczGbnZn51/kqniE7c3/1+r5/flLOJr3Z9ZZx0B0LBstWC2+Km1F3Kc2OeqzIW4+Zzbubmc26u0e9Rd4hI46DwIfK7AwfgySfh5ZeN7haAq6+GF1/03Q3gTjQttdxdTrdXu/GL85cqM0H6dOxzzPBx15/u4pLYS+jYsiNn2M8g4EAAV4y8AmuWleKg4mOOxRARORka8yGNXmkpTJ8OZ5wBU6cawaNzZ6PlIzPTt4KH2+NmW+42HnzyQSLPieTB6Q9S1LeIR155xOu01EBLIIWuworgEWQJ4syIM+l3Rj8ujbv0mO+5pcst/OOSf3DTOTfRLbobc+bNwZZjY2XaSmz7bRqLISI1opYPaVSO3ur+k0+McR0//WTcb9kSJk40dp0NCjK11Cp++O0HeszqYSzz7QG6UWla6tQxU72u0jm933RCgkI4w34GsWGxBFoCT/ndGoshIrVJ4UMahaO3um/adAcQx/btxlb3gYHw0EMwYQLUxiroJzMWo9xdzva87fyc8zM/O36u+OvUvlPp2rprlc/HhcdV7C/StElT2p3Tjq17tmLNtBIQEnDMrpD+nfvX+PdoLIaI1CaFD2kUkpJSf9/q/sgdZ7OAVBISkklJgbPOqr33nWgsxsJNC7lr0V0cKj9U5d73+773Gj7Cmoax7O5ldGzZkbjwOP4x8R8syl+kfUNExO9ozIc0eC6XiyVLsikp6X3Und60bbudRYtctRI8cg7mMPyZ4USdE1UxFmPMrDFex2K0Dm1dETyCmwTTrXU3BnUZxPjLxnNuq2MPMrmqw1W0b9meQEtgRVfIWWedxbpl62jbqm3Nf4SISD1Qy4c0aE4nPPGEgy1bvK8z4XYbW93XZDXSl9a+xLNfPsu+on1VxmIcKj/EpDGTqozFOC/6PDLvyqRzRGdiw2OPuyz4sagrRET8lcKHNEhOp7H0+UsvQUFBBHDqW90Xlxbz35z/8uNvP/Jb0W8kXux9c7gmliZG8MCYXdLurHbs2LMDa6aVQ80OeR2LYWtq45qO11T/B4qI+DF1u0iDcuAAPP44tG9vbPZWUAB2u5VLLokjODgL8EDTRwCP163u3/j2DQbOH8iZ08+k+bPNiZ8Zz+APBvPYiscoLS/1+s6+Z/Rl7sC5bBy2kaIxRdxQfgNt8tuw7s11hDvCNS1VROQoavmQBiE312jpmDoV8vONa3Y7JCYay6GHhiaSmJRC+kfjcAR/RXTeJm6/+eoqW91/tesrFv+0uNK1tra2nNvqXHJLcokKrbrEaUd7RzraOx7+vKaliogcl8KH+LXcXCNwTJ1q7DwLxlodiYnQ586f+Dn/Gyau/pYP533Ils+34InyQD8IXvMLS1Ztod1rTSvtT9L3jL5YA62c2+pczm11Ll2iutAypOUp1aSxGCIix6fwIX4pL88YzzFlihFAAFq0MELHiBHGJnAXzLyLb/Z8Y9xsBxyiYiBomaeMZ8Y8U2Ug6MCzBzLw7IH1+EtERBofhQ/xK3scRTw+YyNzV2yguMW38KcOtPh+LKNHG6EjPPzwZ8+PPp8d+TvoHtOd7tHdaXNRG8anjCc4K1j7k4iImEjhQ3zCiVYEvXvh3/j0x9XkeH6GAA9cYVyPoTubloylRYuq3/nytS8zs//Miu9LfDyRcEe4FuUSETGZZruIT0hLT2PWylnMWziv0vWCAnjmGZi3ciM5/GQED08AEZ7O3HTm7fyzz2CvwQOMJciPDDJalEtExDcErFq1ymNmAUVFRVx33XXk5eURFhZmZilST8rcZXy37ztW71jN7Ddns/GzjZRFlkE/aLemHYH7A3lg8AjKS0aQkmKs2UG3OQSH53Nb7+48+fduxLZubvbPEBFp1PLz8wkPD2fp0qWEhoae0rPqdpF6VVpeSquUVuSW/D5KNBroRcVA0B27c+hAfyY/9RAHDhgfsdngkevvYdQoYyaLiIj4N3W7SK0qc5exYc8G/rv/v17vBwUG0cneCYCOLTtyVml3An/+K5SHwzsxlFub8suP/Tlw4EVsNhg3DrZtgyefVPAQEWko1PIhNZJzMIe1O9eyesdq1uxcw7pd6ygqLeJv5/+N169/3eszb97wJq1CW9EiqAVnnZVI+W9WCGoJuZ9Ai34Q+g32piX88IOLmBir1+8QERH/pfAhx3W8WSiuchdtX2yLq9xV5bmd+TuP+Z1dos5l7Vp49tk9bN0aC9YmULQOiITcdWBNp2mYi4AAJ0a/jIiINCQKH3JMha5CnnztSWaunEnPhT2545Y7Kt23Blo5P/p8Nu7bSI82PbjotIu4KPYiLjztQqKbVw0NLhcsXGgsDvb11wC/b/jmmn7EpyLBNQqbbfgxN3wTERH/pvAhFUrLS/l619cs37Kcf731L7Z8vgVaAf1g3OvjeHzS44x4YESl5cjfH/Q+rUJbERQYdMzvzcmBmTNhxgzYvfvw9UsusdKiRRwrVmRRUtK74rq3Dd9ERKThUPgQwAge0anROIudxoX2gIvDy5G7y5g8ZnKV5cjbhh17rYwffjBaOd5+G0pKjGtBQXDrrTByJFxwAbjdiSQlpZKRsZCCglhstp0kJMRV2fBNREQaDoWPRuZQ2SGaNmla5XpQYBBdorrwZfaXnBd9Hle2v5JzLjuHpMlJNM1qysGggye1HLnbDR9/bISO5csPX4+MhGHD4MEHoU2bw9ctFgsvvpjM5MkunE4ndrtdLR4iIg2cwkcDt79oPyu3rmTF1hUs37Kcv7T7C2/c8IbXz7523Wu0Cm1FRLMIwFiOPCwn7KSWIy8ogDlzYNo0+OWXw9f/9Cd45BG4/XYICTl2nVarlehoDS4VEWkMFD4aqDErxvDxLx+zcd/GStfLt5bj8Xi8tmCcHXV2pfM/liOPjIxk3bJ1pM9Pr/LM1q3w8svw+uuQn29cCwiA/v2NrpW//MU4FxER+YPCh5860UZs/97x74rgYbPa6N2uN1e2v5IrO1x50u8Y/fBoXC4Xe/bsISIiglEPjfr93fDFF0bXygcfGF0tAM2bw333wfDhcMYZNf+NIiLSMCl8+KFtudsY/8p4FixfQM/4qlNgAe4//36u7nA1V7a/kh5te9DEcmr/Vbvd7t8HgmaTnx9LWNgO+vaN4/zzE5k2zcKGDYc/2769sZ39vfdW3tJeRETEG20s5yc27d/Eov8u4tWZr7Lry10VU2Dbr22P5TdLlSmwNTV69AukpfWoNAUWsoB1QDIAl19ujOfo3x8CA2vt1SIi4ge0sVwDN+i9Qby36T3j5AygHAK3BVJuKafUXcpzY56rMgW2JlwuF0uXZlNSknzUnd7AQu6+28Xo0VbOO6/WXikiIo2INpbzA+dH/397dx8VVb3vcfzNDKII+ASoqFggXa8KlmYBaQaJ+HB9xIdcdqBOFAAAEKlJREFUZbryes5NV6mBGaklnrLTPT5knOOlpmVCClfRYEmmEvkUuiQ9ZiFiEImidZWn8QFERpi5f8xhAMFE2cOW8ftai7Xas/ee+e6lOR9+e/++v0EAPNblMSKHRZL8ejKdXDrhcdCDCruKJk2BbarcXHjzzRJ+/dWz0f1du3ryt7+VSvAQQghx3yR8qMxQbWBv3l6W7luKydT4HbBXBr1C1rwscl7L4a8hfyV9bzouxS7sj9mPS5ELG2I3NKsGvR4++QQCA6FvX4iOdsVovNDosZ06XZS250IIIZpFbruooNxQTuqvqSSdSWJX7i6uVl4F4EW/F/Ht6tvg+O7O3eutldKUKbB3c+sWpKaae3OkpJjXXanh4+OAu3tvfvjhIJWVQZbXpe25EEIIJUj4aGEJpxKYmzKXiqoKy2taOy1BjwZRcaviD86sFf5auOW/3dzcLFNgm+Knn8yBIz4eCgtrX+/Y0dz2fPZs8wiIySRtz4UQQliHhA+F3a3/Rj+3flRUVdBW25bQPqGE9Qtj/L+Nt3QVtYbLl81hIy4OMjNrX9dqYdQoc+AYP75+B1I7O2l7LoQQwjokfCgsOi6amG9j8O7nzYLZDae+PtH9CZKmJxHiHYJLWxer1XHzJnz1lTlw7N0L1dW1+/z8zIHjpZfgbh3Npe25EEIIpckDpwqoMlYxN2ou7R9rz6L/WYThPwys/HwlPoN8iI6JrnesnZ0dk/tNbnbwqOk8aqjzsIbJBEePmhdw8/CA6dPh66/NwcPd3dyT4+RJ862XiIi7Bw8hhBDCGmTkoxnKDeWsO7oO3Q86LnIRhmBZgt6Ikb8s/Yui/Teg8c6jzz7bm0ceiWDLFg25ubXHOjiYb6fMng2jR5uXsxdCCCHUJuGjGdpo27Dh+AYul19Go9HwfMDzHCs8htNBJwxtDYr236ixePHaf3UeNTcAu3QJcnMPAmup6Tzq7w+zZsGMGSCzYoUQQjxo5LZLMzhoHXhr6Fu8M/wdzi08x8CSgXTRd1Gs/8btCgoMxMcX3NbyHCAIe/vzLFli4MwZyMiA+fMleAghhHgwycjHXRz/7TgZFzN43f/1Rve/EVg7zVWJ/ht1mUyQlWXuw5GSAseOlQCNdx51d/fkjTdK5eFQIYQQDzwJH40oN5SzNWsrMf+M4cT/nUBjp2Hiv0+kd8fef3hec/pv1Lh1C777rjZwnDtXd68rGs0FyxL2dbm4SOdRIYQQrYOEjzrO6s/yccbHxP0UZ+k6CjCkxxCKyovuGj7u15UrsGePOWzs2QNXr9bf/9hjMHEiTJjgwJdf9ubTTw/Wu/UinUeFEEK0JhI+6sgpziH6mHlqrKO9Iy/6vci8IfN4sseTin/W2bPmPhwpKeaRjqqq2n0aDQwdap6pMmGCeb2VGkOHRqDRSOdRIYQQrZeEjzpG+YxijM8YRvuMZtbjs+jUrtM9v4fBYKCkpARXV9d6IxFGIxw/Xns7JSur/nlOTubpsBMmwNix4ObW+PtrNNJ5VAghROv20IQPk8nEwsiFjP7P0XRo14FhvYc1OEZjp2H3S7vv6/0b678RGtqbkJAIdu3S8NVX5jbndfXsaQ4bEyZAUBC0a9f0z5POo0IIIVqrhyJ8lBnKmPvfc0lMS+TvBX8neHQw+2fvV/Qz7tR/4x//qO2/ATBoUG3gGDQIFG4DIoQQQjzwbDp8GE1GXl7+MtsStlHtXg3jgT3w/fvfs+76unqzU+6HyQT5+XDggIGNGwsswaNWELCD0FADkyY5MG4ceDY+U1YIIYR4aNh0+Hht92sktEmAALDLt8OkMeHh4sGaN9fcV9tzo9H8rEZ6eu3P778D3Ln/RvfunsTFSf8NIYQQooZNh48/Df4TuhM6JgdNZl/xPtodbIehTdPbnhsMcOKEeTZKejocOWKeFns7NzdXKiouUF7ecF+HDtJ/QwghhKjLpturD/IYRP7CfHr/1psOxR3YunIrzoXOd2x7XlYGaWnw7rsQHAydOsEzz0BkpHl12Jrg8eij8PLLoNPBmTNQWOjAn//cm3btDtZ7P+m/IYQQQjTU6kc+qo3V/H79dzw7Nn7bo6dLT/55NBf76yG88EIGTk4hHD+ag9FopKREw+HDtbdQTp40Lz9/O19fePbZ2p9evRoeY+6zIf03hBBCiLtp1eHj0LlDLEpdxM2qm2S+mkkbbcM14xcvXsuxwxH1OoLm5x/EzW0tev3tD4iCvT0MGVIbNIYObdoCbdJ/QwghhGiaVhk+zurP8mbamySdSQLADjsOnT9EiHcIABUV8PPP8OOPBmJjG85CMRqD0Ot3AAacnBwIDKwNG/7+0L79/dcm/TeEEEKIP9aqwse1ymt8kP4BH2V8hKHaAMBT7s8xzWU96XFPEJNlno2Sl8e/Fl+78ywUFxdPtm0rJSSkO20aDpgIIYQQwkoemPBhMBjuuM9ohIICSDtRxJqsj6jGgEOZN8a9azieNYnjND5zpWdPV/T6C9y40XCfh8dFRozoIsFDCCGEaGEPTPgICFjG+PE+LFkSQXa2hqx/jWKcOgWnT5tnokAfGL4cqtph+H4BVLcFzM9k+PmZHwyt+RkwADp3diA8vDcxMbIKrBBCCPGgsDtw4IBJzQLKy8sZN24ccBX4AThO3XbkdTk5mUNF3ZDh5wfdut25TXntmivnG8xC0WhseqaxEEIIYTXXrl2jY8eO7Nq1Cycnp3s616ojH6dPn2bdunXo9XpGjBjB/Pnz79LcKwjaxqN55l366d9iYD+neiMajzxiXm7+XsgsFCGEEOLBYrVf/cvKyli6dClTpkxhx44dlJaWsnv3H60YWw1P6rBb+L8Yn3uPqR+tJiEB3n4bxo8HL697Dx511cxCaengkZqa2qKf15Lk2lonubbWSa6tdbLla2sOq4WPjIwMOnXqxNixY9FoNMyYMYO0tLQ7n/DKMBj/X5jal9OhbQfc2rtZq7QWZct/8eTaWie5ttZJrq11suVraw6r3Xa5fPkyffv2tWx7eHhQUFBw5xOuZYNRw8BbT5O2eCddnbpaqzQhhBBCqMhq4cNkMuHs7GzZdnR0pMw8ZaXBcQDk2OGU4cyLb0yiXXU7rl27Zq3SWpTBYLCZa7mdXFvrJNfWOsm1tU62fG0112X5Hr8HVpvtkpKSwqlTp1i2bBlgfgZkypQpDYagioqKmD59ujVKEEIIIYSVJSYm4u7ufk/nWG3kw9fXl/j4eIxGIxqNhuzsbDw8PBoc5+rqSmJiIo6Ojk1a5l4IIYQQ6jOZTFRUVODq6nrP51otfHh7e+Pu7s7HH3/MiBEj+PTTTwkNDW1wnEajuefEJIQQQgj11X284l5YtcmYXq9Hp9ORm5tLQEAAc+bMQavVWuvjhBBCCNEKqN7hVAghhBAPF1XXdsnLy2PVqlVs2rRJzTKsYvfu3WzcuJGrV68yePBgIiMj6dKli9plKaKkpITY2FguXryIj48Ps2fPvu+htweVXq9nzpw5xMTE0L17d7XLUcQ777xDZmamZfRx3LhxzJkzR+WqlLV48WICAgKYOnWq2qUoYufOncTFxdV7Ta/Xs3XrVrp166ZSVcr58ssv2b59O5WVlQwePJjw8PB7btP9IDKZTMTHx5OWlkZFRQUBAQHMmzcPR0dHtUtrlsa+szdv3kxycjLOzs4sWLCAIUOGNOm9VFvcJDs7m+XLl1NRUaFWCVaTk5NDXFwcUVFRJCcnA/D555+rXJUyqqurWbJkCV5eXkRERFBSUkJMTIzaZSlu9erVXLlyRe0yFPXzzz8TGxtLUlISSUlJNhc8vv76a65cucLkyZPVLkUxEydOtPx5JSUlsWTJEnx9fW0ieBQUFLBz5042btxIYmIi1dXVbN68We2yFJGamsp3333Hhg0b2LJlC3q9ng0bNqhdVrM09p39zTffkJKSQkxMDGvXrmX9+vVcvXq1Se+nWvhITExk4cKFan28VWm1WqKiovDz88PFxYXAwEAuX76sdlmK0Ov1hIaGEhYWRq9evRgxYgT5+flql6WolJQUKisrbeIf+BpFRUXY29vTuXNntUuxiuLiYnQ6HeHh4Tb7XJnRaOSzzz5j3rx5apeiiPz8fLy9vXFycqJNmzY8/vjjXLp0Se2yFHHo0CHGjh2Ls7MzDg4OjBw5kuzsbLXLapbGvrPT0tKYPHky3bp1w93dHX9/f44ePdqk91MtfKxYsQIvLy+1Pt6qfHx86Nevn2X76NGjDBw4UMWKlOPm5sYLL7wAmLvYbt++nZEjR6pclXJ+++03EhISiIyMVLsURZ05c4YbN24wffp0JkyYwHvvvceNGzfULksx0dHRaDQa4uPjiY6Opri4WO2SFHfkyBG6dOlC//791S5FEX369OHkyZPk5eVRWlpKamoqTz/9tNplKUKj0VBaWmrZzsvLa/W33Rv7zm6sk/n58+eb9H6qhY+HpafH4cOHycvLIywsTO1SFJWTk8P8+fMpKSkhODhY7XIUUV1dzQcffMD8+fNtcvr3tGnT2LJlC9u2baO8vJwvvvhC7ZIUkZOTQ3p6OsHBwYwbN47S0lIWLVpEdXW12qUpKjExkWnTpqldhmJ69eqFv78/77//PpGRkWi1Wp577jm1y1LEmDFjSExMRKfTsX79ehISEhg1apTaZTVLY9/ZRqMRFxcXy/adOpk3RrXw8TC4dOkSa9asITIy0iYeoqqrb9++JCYmEhgYyKpVq9QuRxFbtmzBy8uL4cOHq12K4oYPH87MmTNxcHDA0dGRiRMncvz4cbXLUsSpU6fo06cPCxYsIDAwkOXLl1NYWEheXp7apSnm3LlzFBYW8tRTT6ldimK+/fZbtFotsbGx6HQ6QkJCWLFihdplKWLYsGGsXr0aOzs7Tp8+jaenJ88//7zaZSmuQ4cOXL9+3bJdUVGBponLz0v4sJKysjKWLVvG1KlTbWYoEaCwsJAff/wRMD/bEhoaajP/yB84cIAjR44QFhZGWFgYRUVFvPrqq+zfv1/t0prt4MGDFBUVWbaLiops5tkIrVZLjx49LNv29vZotVqbmoGVlpZGcHCwTY0YZ2Zm4u3tbdkeMGAAmZmZKlakLD8/P2bOnElxcTHz5s2zmf/f6vL19eXkyZOW7ezs7CbPDpTwYQVVVVUsXboUb29vZs6cqXY5iqqsrGT58uWWwJGWloafn5/KVSkjNjaW5ORky8wCd3d3PvnkE5v4jSU3NxedTkd5eTkFBQXs2LHDZoa4/f39ycrK4sKFCwAkJyfTuXPnRpdzaK3S09Px9/dXuwxF9erVi3379pGTk8Mvv/zCpk2b6NOnj9plKWr79u3079/fpn4BrWvMmDGkpKRw6NAh9uzZQ0ZGBkFBQU06V9U+H7bq2LFjnDp1ivPnz1ue9XBzc0On06lcWfN5enoSHh7OihUruHnzJgMGDCAiIkLtssRdzJo1iw8//JCpU6fSuXNnRo0axYwZM9QuSxE9evQgPDycqKgoiouL6dq1KytXrmzy8O+DrrCwkEuXLtnMg6Y1Jk2axPnz54mMjKSsrIy+ffvy9ttvq12WYoqLi0lKSrLJVgQ1vLy8WLFiBZs3b6aqqoqoqKgmh37pcCqEEEKIFmUbvxoIIYQQotWQ8CGEEEKIFiXhQwghhBAtSsKHEEIIIVqUhA8hhBBCtCgJH0IIIYRoURI+hBBCCNGiJHwIIYQQokX9P9f1aA0RyHdNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(1,10,20)\n",
    "plt.plot(x,x**2,marker=\"o\",linestyle=\"-\",linewidth=2)\n",
    "plt.plot(x,np.log(x**10),marker=\"*\",ls=\"--\",lw=2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(1,10,20)\n",
    "plt.plot(x,x**2,\"ys--\",linewidth=2)\n",
    "plt.plot(x,np.log(x**10),\"r^-.\",lw=2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 坐标轴上下限\n",
    "## 坐标轴刻度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use(\"seaborn-whitegrid\")\n",
    "plt.plot(np.random.randn(1000).cumsum())\n",
    "plt.xticks([0,250,500,750,1000],rotation=30, fontsize='large',color='g')\n",
    "plt.yticks([-45,-35,-25,-15,0],rotation=30, fontsize='small',color=\"r\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 标题、轴标签和图例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.randint(1,20,size=20)\n",
    "x2 = np.random.randint(1,20,size=20)\n",
    "y = np.random.randint(1,10,size=20)\n",
    "y2 = np.random.randint(3,10,size=20)\n",
    "plt.scatter(x,y,color=\"b\",linewidth=2,label=\"Boys'scores\")\n",
    "plt.scatter(x2,y2,color=\"r\",linewidth=2,label=\"Girls'score\")\n",
    "plt.xlim(0,21)\n",
    "plt.ylim(0,11)\n",
    "plt.title(\"Student Scores\",c=\"g\",fontsize=20)\n",
    "plt.xlabel(\"Chinese\")\n",
    "plt.ylabel(\"Math\")\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(1,10,20)\n",
    "plt.plot(x,x**2,label=\"y=x*x\",lw=2)\n",
    "plt.plot(x,np.log(x**20),label=\"y=logx\",lw=2)\n",
    "plt.legend(loc=\"upper left\",frameon=True,fancybox=True,markerscale=10,shadow=True,labelspacing=0.5,\n",
    "          title=\"Curve Types\",fontsize=14,ncol=2);\n",
    "# legend重要参数\n",
    "# frameon 是否有边框\n",
    "# fancybox 边框是否有弧度\n",
    "# shadow 边框是否有阴影\n",
    "# labelspacing 标签的垂直方向的距离\n",
    "# title 图例的标题\n",
    "# fontsize 标签文字大小\n",
    "# ncol 标签列数\n",
    "# loc 图例在坐标系中的位置"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
